114695040000 has 880 divisors, whose sum is σ = 412543143936. Its totient is φ = 28262400000.

The previous prime is 114695039993. The next prime is 114695040043. The reversal of 114695040000 is 40596411.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 114695040000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2440319977 + ... + 2440320023.

Almost surely, 2^114695040000 is an apocalyptic number.

114695040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114695040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206271571968).

114695040000 is an abundant number, since it is smaller than the sum of its proper divisors (297848103936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114695040000 is an equidigital number, since it uses as much as digits as its factorization.

114695040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 114695040000 in words is "one hundred fourteen billion, six hundred ninety-five million, forty thousand".